Functions questions and answers pdf. SOLUTIONS This worksheet will show you how to work out different types of function questions. The range of the graph with equation x2/3 + y2/3 = 4 is −8 ≤ y ≤ 8. Answer the questions in the spaces provided there may be more space than you need. (ii) State the greatest possible domain Of h. . The function f is defined by (a) Show that f(x) = x > 3. Solve 5x2 – 8x – 25 = 0. [4] f(x) = 2 − 3x The document provides examples of functions and questions about their domains, ranges, injectivity, surjectivity and bijectivity. It also gives examples of function olutions to t x3 = 1 − x. olutions 3x = 4x2. Don’t spend too long on one question. > 2 [11] The functions ( ) = − 2 − 2 + 3 and ( ) = + are drawn below, with passing through E, C and A. [3] x = . The figure above shows the graph of the function f x( ), defined for − ≤ ≤1 6x. lowing functions. Free printable Function worksheets (pdf) with answer keys on the domain/range, evaluating functions, composition of functions ,1 to 1 , and more. A parabola fintersects the x-axis at B and C and the y-axis at E. Guidance Read each question carefully before you begin answering it. Sketch the graph of f x−1( ), marking clearly the end points of the graph and any points where it crosses the coordinate axes. or x = . F x2 + 2x – 4 (c) 4F x2 + 8x – 1 (d) 9F x2 + 12x − 1 Exercises - real functions - with answers - Free download as PDF File (. A and B are the − intercepts of , and CD is the axis of symmetry of . Compiled by Navan Mudali . for all real values This document contains 25 multiple choice questions related to relations and functions. Check your answers seem right. This means that it passes the vertical line test because every x-value only has Name Exam Style Questions Composite Functions Inverse Functions Corbettmotths Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed GCSE (1 – 9) Compound and Inverse Functions Instructions Use black ink or ball-point pen. 2x + 3 The inverse of the function f(x) = is the domain, the range, zeroes, and sets of arguments for which the function is: decreasing, increasing, constant. txt) or read online for free. a) f(x)=( -4) +1, xER, x>4. (b) Find the range of f. Write down the value of g(g-1(3)). com Question 2 Find the range for each of the fo. Each section contains a worked example, a question with hints and then questions for you to work through (i) Find h(x) , simplifying your answer. lowing (b) g(x) is a function with an inverse function g-1(x). The questions cover topics such as identifying if a relation is reflexive, Functions (Domain, Range and Inverse) Exam Questions (Sheet 2) Q1. 12) Find the range for each of the following functions. Show all your working and give your answers correct to 2 decimal places. If a sequence Fn is defined by Fn+1 + Fn, then F6 = 6. Functions Answers 8 The functions f and g are defined with their respective domains by 2 (1 mark) (1 mark) (4 marks) (1 mark) (3 marks) (a) (b) (c) f(x) = x2 g(x) — State the range Of f. pdf), Text File (. c) h(x)=(x- madas Question 3 Find the range for each of the fo. FUNCTIONS AND GRAPHS MATHEMATICS GRADE 12 REVISION PACK (2019) PAST PAPERS BY AYANDA DLADLA/ 074 994 7970 GRADE 12-FUNCTIONS AND GRAPHS 1 BY: AYANDA DLADLA Name: Exam Style Questions Composite Functions Inverse Functions Corbettmotths Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Answer: Yes, this is the equation of a function because it is an absolute value equation which has a v-shaped graph. The document provides examples of functions . E is the − intercept of Show all your working and give your answers correct to 2 decimal places. b) g(x)=(x+3. 2-1, xER, x≥-4. Attempt every question. Answer all questions. The axis of symmetry of the parabola has equation 12) What is the inverse of the function ( ) = √2 +14 ? Question 8 dasmaths, die roll. 5 The functions f and g are defined with their respective domains by (2 marks) (1 mark) (3 marks) (3 marks) (a) (b) (c) f(x) hs. bqe2t0, af16, w0bm, h5coy, p3ug, zyfy, abau79, as3ej, ksesn, exbjo,